Theory and Modern Applications
Table 1 Descriptions and values of the parameters
From: Comparison of stochastic and random models for bacterial resistance
Parameter | Description | Value |
|---|---|---|
\(\beta_{S}\) | Birth rate of sensitive bacteria | \(0.8~\mbox{day}^{-1}\) |
T | Carrying capacity of bacterial population | \(10^{9}~\mbox{cells}\) |
c | Fitness cost | 0.5 (dimensionless) |
η̄ | Death rate of sensitive and resistant bacteria | \(0.3~\mbox{day}^{-1}\) |
μ | Sensitive bac. mutation rate by exposure to antibiotic | \(10^{-6}~\mbox{mut} \times \mbox{gen}\) |
σ | Conjugation rate of bacteria | \(10^{-5}~\mbox{day}^{-1}\) |
\(E_{\max}\) | Maximum killing rate of antibiotic | \(26.4~\mbox{day}^{-1}\) |
\(E_{50}\) | Antibiotic concentration for half max. kill rate | \(5~\mu\mbox{g}/\mbox{ml}\) |
\(\beta_{B}\) | Recruitment rate of immune cells | \(3~\mbox{day}^{-1}\) |
Λ | Carrying capacity of immune cells | \(1.8\times10^{5}~\mbox{cells}\) |
λ | Loss rate of immune cells by apoptosis | \(6\times10^{-6}~\mbox{cells}^{-1}\mbox{ days}^{-1}\) |
α | Dose of antibiotic administration | \(5~\mbox{mg}/\mbox{kg}/\mbox{day}\) |